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Simplifying 0.04x + 0.06(1300 + -1x) = 178 0.04x + (1300 * 0.06 + -1x * 0.06) = 178 0.04x + (78 + -0.06x) = 178 Reorder the terms: 78 + 0.04x + -0.06x = 178 Combine like terms: 0.04x + -0.06x = -0.02x 78 + -0.02x = 178 Solving 78 + -0.02x = 178 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + -0.02x = 178 + -78 Combine like terms: 78 + -78 = 0 0 + -0.02x = 178 + -78 -0.02x = 178 + -78 Combine like terms: 178 + -78 = 100 -0.02x = 100 Divide each side by '-0.02'. x = -5000 Simplifying x = -5000
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